2.503   ODE No. 503

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ \text {a0}+y'(x) (\text {a1} x+\text {b1} y(x)+\text {c1})+y'(x)^2 (\text {a2} x+\text {b2} y(x)+\text {c2})^2+\text {b0} y(x)+\text {c0}=0 \] Mathematica : cpu = 300.047 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve((b2*y(x)+a2*x+c2)^2*diff(y(x),x)^2+(a1*x+b1*y(x)+c1)*diff(y(x),x)+b0*y(x)+a0+c0=0,y(x))